| 推广的非 Bazilevic函数的beta 阶星像性 |
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| 引用本文： | 刘名生. 推广的非 Bazilevic函数的beta 阶星像性[J]. 华南师范大学学报（自然科学版）, 2013, 45(1). DOI: 10.6054/j.jscnun.2012.12.002 |
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| 作者姓名： | 刘名生 |
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| 作者单位： | 1.华南师范大学 |
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| 摘 要： | 建立了2个微分从属引理，应用微分从属和微分不等式的方法，得到了非 Bazileviu{c}函数是$beta$ 阶星像函数和强星像函数的一些充分条件.
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| 关 键 词： | 解析函数 星像函数 强拟星像函数 从属，非 Bazilevic函数. |
| 收稿时间： | 2011-12-31 |
| 修稿时间： | 2012-04-10 |
Starlikeness of order beta for generalized non-Bazilevic functions |
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| Liu Ming-Sheng. Starlikeness of order beta for generalized non-Bazilevic functions[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(1). DOI: 10.6054/j.jscnun.2012.12.002 |
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| Authors: | Liu Ming-Sheng |
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| Abstract: | The starlikeness of order $beta$ and strongly starlikeness for generalized non-Bazileviu{c} functions are investigated. Firstly, two lemmas of differential subordination are established. By applying differential subordination and differential inequality, some sufficient conditions are obtained for validating that generalized class of non-Bazileviu{c} functions are a subclass of starlike functions of order $beta$ or strongly starlike functions of order $gamma$. |
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| Keywords: | analytic function starlike function strongly starlike function subordination non-Bazilevic function. |
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